2050074148864 has 459 divisors, whose sum is σ = 5176680995253. Its totient is φ = 809326608384.

The previous prime is 2050074148807. The next prime is 2050074148901. The reversal of 2050074148864 is 4688414700502.

It is a happy number.

The square root of 2050074148864 is 1431808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1596078489600 + 453995659264 = 1263360^2 + 673792^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43618598889 + ... + 43618598935.

Almost surely, 2^{2050074148864} is an apocalyptic number.

2050074148864 is the 1431808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050074148864

2050074148864 is an abundant number, since it is smaller than the sum of its proper divisors (3126606846389).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2050074148864 is an frugal number, since it uses more digits than its factorization.

2050074148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

Multiplying 2050074148864 by its sum of digits (49), we get a square (100453633294336 = 10022656²).

2050074148864 divided by its sum of digits (49) gives a square (41838247936 = 204544²).

The spelling of 2050074148864 in words is "two trillion, fifty billion, seventy-four million, one hundred forty-eight thousand, eight hundred sixty-four".